Note on Embedding a Class of Finite Planar Spaces into 3-Dimensional Projective Spaces

摘要

Let $S = ({mathcal{P}},{mathcal{L}},{mathcal{H}})$ be a finite planar space such that any two planes intersect in a line. Such planar spaces are interesting, since they provide examples for a class of finite geometries which is conjectured to be embeddable in a finite projective geometry (see e.g. [3,6]). In this paper, a new embedding condition for a class of these finite planar spaces is given.